Question

Find the two numbers whose sum is 27 and product is 182.​

Answer 1

Answer:

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Answer 2

$\huge{\underline{\sf{Question :-}}}}$

Find the two numbers whose sum is 27 and product is 182.

$\huge{\underline{\sf{Solution :-}}}}$

Let the first number be x

Let the second number be (27 − x)

✮ According to the question,

➾ x (27 - x) = 182

➾ 27x − x² = 182

➾ x² − 27x + 182 = 0

➾ x² − 13x − 14x + 182 = 0

➾ x (x − 13) − 14 (x−13) = 0

➾ (x − 14) (x − 13) = 0

Now,

➾ (x − 14) = 0 ⠀⠀and⠀⠀ ➾ (x − 13) = 0

➾ x = 14 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➾ x = 13

✮ Therefore,

→ If the first number is 14, then the second number is 13 and

→ If the first number is 13, then the second number is 14.

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